30766164 has 48 divisors (see below), whose sum is σ = 84342720. Its totient is φ = 8605440.

The previous prime is 30766163. The next prime is 30766181. The reversal of 30766164 is 46166703.

30766164 = 391² + 392² + ... + 533².

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30766163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7249 + ... + 10680.

It is an arithmetic number, because the mean of its divisors is an integer number (1757140).

Almost surely, 2^30766164 is an apocalyptic number.

It is an amenable number.

30766164 is an abundant number, since it is smaller than the sum of its proper divisors (53576556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30766164 is a wasteful number, since it uses less digits than its factorization.

30766164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17960 (or 17958 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 30766164 is about 5546.7255205211. The cubic root of 30766164 is about 313.3462129407.

The spelling of 30766164 in words is "thirty million, seven hundred sixty-six thousand, one hundred sixty-four".